Two identical speakers are initially equal distances from a listener . The listener hears a sound maximum (constructive interference). When the upper speaker is moved back by a distance d = 2 m, the listener hears a sound minimum (destructive interference). What is the longest wavelength the soundwaves could have?
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Two identical speakers are initially equal distances
from a listener . The
listener hears a sound maximum (constructive
interference). When the upper speaker is moved back
by a distance d = 2 m, the listener hears a sound
minimum (destructive interference). What is the
longest wavelength the soundwaves could have?
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- ity OW Search Moodle Consider a piston of radius 5 cm mounted on an infinite baffle. It is driven at a frequency 2500 Hz with normal piston velocity of 10 m/s. It radiates 3500 W of acoustic power into the air. The intensity at a distance of 6 m from the centre of the piston is?Two identical loudspeakers 10.0 m apart are driven by the same oscillator with a frequency of f = 21.5 Hz (as shown) in an area where the speed of sound is 344 m/s. (a) Show that a receiver at point A records a minimum in sound intensity from the two speakers. (b) If the receiver is moved in theplane of the speakers, show that the path it should take so that the intensity remains at a minimum is along the hyperbola 9x2 - 16y2 = 144 (as shown). (c) Can the receiver remain at a minimum and move very far away from the two sources? If so, determine the limiting form of the path it must take. If not, explain how far it can go.The acoustic impedance of water is Zwater = 1440000 kg/(m2 s), and that of bone is Zbone = 7800000 kg/(m2 s). What proportion of the energy of a sound wave propagating in water will be reflected at the water-bone boundary?
- In the figure, two loudspeakers, separated by a distance of d; at the position of a listener, who is d, = 3.81 m directly in front of one of the speakers. Consider the audible range for normal hearing, 20 Hz to 20 kHz. (a) What is the lowest frequency that gives the minimum signal (destructive interference) at the listener's ear? (b) What is the lowest frequency that gives the maximum signal (constructive interference) at the listener's ear? (Take the speed of sound to be 343 m/s.) 2.74 m, are in phase. Assume the amplitudes of the sound from the speakers are approximately the same %D di Speakers Listener (a) Number Units (b) Number UnitsTwo waves on a string are given by the following functions: y,(x,t) = 4cos(20t–30x) (cm) y,(x,t) = -4cos(20t+30x) (cm) where x is in centimeters. The waves are said to interfere constructively when their superposition ly, = ly,+y,l is a maximum, and they interfere destructively when ly,l is a minimum. (a) What are the directions of propagation of waves y,(x,t) and y,(x,t)? %3D (b) At t = (n/50) s, at what location x do the two waves interfere constructively, and what is the corresponding value of ly,1? (c) At t = (T/50) s, at what location x do the two waves interfere destructively, and what is the corresponding value of ly 1?You sit in the center of a room that includes an amazing surround-sound system, consistingof 10 speakers (all of which are equidistant from your ears). You play a tone from all 10 speakersat once, but they have randomly-distributed relative phases, so you hear the same volume as ifyou turned up the power coming through a single speaker by a factor of 10. From this arrangementyou hear the tone at an intensity level of 35 dB. Next you reconfigure the speakers so that theyplay the tones in phase. If the volume of each speaker is the same as before, what is the decibellevel of this new sound?
- During ultrasound examination of a patient with spherocytosis, it was noted that 1 MHz signal after reflection from erythrocyte is determined by the detector as having a frequency 400 Hz higher. Find the rate of movement of erythrocyte. The speed of sound in blood is 1500 m/s.The threshold of hearing is defined as the minimum discernible intensity of the sound. It is approximately 10^−12 W/m^2. Find the distance ddd from the car at which the sound from the stereo can still be discerned. Assume that the windows are rolled down and that each speaker actually produces 0.06 W of sound, as suggested in the last follow-up comment.Two loud speakers are placed at opposite ends of a field at the same height. Each speaker is broadcastingequally in all directions. The sound intensity is 75.0 dB at the midpoint between the two speakers. Whatis the sound intensity level at a point one-quarter of the way from one speaker to the other along the linejoining them?
- A sinusoidal wave is sent along a cord under tension, transportingenergy at the average rate of Pavg,1.Two waves, identical to thatfirst one, are then to be sent along the cord with a phase differencef of either 0, 0.2 wavelength, or 0.5 wavelength. (a) With only mentalcalculation, rank those choices of f according to the averagerate at which the waves will transport energy, greatest first. (b) Forthe first choice of f, what is the average rate in terms of Pavg,1?8 (a) If a standing wave on a string is given byy(t) = (3 mm) sin(5x) cos(4t),is there a node or an antinode of the oscillations of the string atx = 0? (b) If the standing wave is given byy(t) = (3 mm) sin(5x + p/2) cos(4t),is there a node or an antinode at x = 0?help(a) If the speaker is at its lowest frequency (f= 2,000 Hz) that produces destructive interference at the location of the microphone, what is the path length difference AL (in m) between the direct and the reflected sound waves that reach the microphone? to